The linear function with values of f(-1)=8 and f(5)=6 is f(x) = 
.
What is linear function?
A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.
Here the given values are f(-1)=8 and f(5)=6.
We know that f(x)=y , Then the points are (-1,8) and (5,6).
Using slope formula ,
=> slope m= 
=> slope m = -2/6=-1/3
Now using slope formula,
=> 
=>y-8=-1/3(x+1)
=>3y-24=-x-1
=> 3y=-x+23
=> y =
Hence the linear function is f(x) = .
To learn more about linear function refer the below link
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Answer:
(1)0.39
(2)0.14
(3)0.21
(4)0.26
Step-by-step explanation:
John makes 35% of his free throw shots.
- The probability that John makes his shot =0.35
- The probability that John misses his shot =1-0.35=0.65
Sue makes 40% of her free throw shots.
- The probability that Sue makes her shot =0.4
- The probability that Sue misses her shot =1-0.4=0.6
(1)John and sue both miss their shots
P(John and sue both miss their shots)
=P(John miss his shot) X P(Sue misses her shot)
=0.65 X 0.6 =0.39
(2)John and Sue both make their shots
P(John and Sue both make their shots)
=P(John makes his shot) X P(Sue makes her shot)
=0.35 X 0.4=0.14
(3)John makes his shot and Sue misses hers
P(John makes his shot and Sue misses hers)
=P(John makes his shot) X P(Sue misses her shot)
=0.35 X 0.6=0.21
(4)John misses his shot and Sue makes hers
P(John misses his shot and Sue makes hers)
=P(John miss his shot) X P(Sue makes her shot)
=0.65 X 0.4 =0.26
Fraction= x/6
x=numerator
x/6=1/3
x=6(1/3)
x=6/3=2
answer: 2/6
to check
2/6=0.3333...
1/3=0.3333...
Y=5x-2. Substitute into the second
-3x+6(5x-2)=-12
-3x+30x-12=-12
The -12 cancel
27x=0
x=0
y=-2
check in the second equation
0+6(-2)=-12
<span>(0,-2)</span>
